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A new stability criterion for high-order dynamic fuzzy systems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 14، دوره 19، شماره 2، خرداد و تیر 2022، صفحه 187-203 اصل مقاله (437.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6798 | ||
| نویسندگان | ||
| Z. Zeighami1؛ M. R. Jahed-Motlagh* 2؛ A. Moarefianpour1؛ G. Heydari3 | ||
| 1Department of Electrical Engineering, Science and Research Branch,Islamic Azad University,Tehran,Iran | ||
| 2Department of Computer Engineering, Iran University of Science and Technology, Tehran, Iran | ||
| 3epartment of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman | ||
| چکیده | ||
| Fuzzy modeling is a well-known solution for simplified modeling and predicting nonlinear systems behavior. Dynamic TSK Fuzzy Systems are an important branch in fuzzy modeling and are used for complex nonlinear dynamic systems modeling vastly. High order fuzzy systems have been developed recently in the fuzzy modeling field, aiming to reduce number of the fuzzy model rules compared to zero and first order systems, not in cost of a larger modeling error. Employing high order TSK in dynamic TSK fuzzy systems, motivates finding a better model for nonlinear dynamic systems. Closed loop control system design is an important usage of dynamic TSK models, including the stability analysis as the first step. \\While stability investigation is a main part of any Controller design process, in this paper, a criterion has been investigated based on Lyapunov second method, for High Order Dynamic TSK Fuzzy System stability. Although the controller design process is not totally discussed in this paper, however some examples are provided to verify the proposed stability criterion. | ||
| کلیدواژه‌ها | ||
| Dynamic fuzzy systems؛ high-order TSK fuzzy systems؛ stability؛ nonlinear state feedback controller | ||
| مراجع | ||
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[1] T. Apostol, Mathematical analysis, Addison Wesley, 5 Edition, 1981.
[2] S. D. Arani, A. Moarefianpoor, Tracking control design for discrete-time polynomial systems: A sum-of-squares approach, Modares Journal of Electrical Engineering, 16 (2016), 1-7.
[3] M. Aslam, I. Qaisar, M. A. Saleem, Quantized event-triggered feedback control under fuzzy system with time-varying delay and actuator fault, Nonlinear Analysis Hybrid Systems, 10 (2019), Doi: 10.1016/j.nahs.2019.100823.
[4] M. Aslam, R. Ullah, X. Dai, A. Sheng, Event-triggered scheme for fault detection and isolation of nonlinear system with time-varying delay, IET Control Theory and Applications, 14 (2020), 2429-2438.
[5] M. Aslam, X. Zhou, X. Dai, Robust reliable filter design for t-s fuzzy singular systems with random time delays under uncertain parameters, Soft Computing, 25 (2021), Doi: 10.1007/s00500-020-05540-0.
[6] P. Bhounsule, A controller design framework for bipedal robots: Trajectory optimization and event-based stabilization, Ph.d thesis, Cornell University, 2012.
[7] I. Boulkaibet, K. Belarbi, S. Bououden, T. Marwala, M. Chadli, A new t-s fuzzy model predictive control for nonlinear processes, Expert Systems with Applications, 88 (2017), 132-151.
[8] J. J. Buckley, Universal fuzzy controllers, Automatica, 28 (1992), 1245-1248.
[9] J. Castro, O. Castillo, M. Sanchez, O. Mendoza, A. Rodrguez-Daz, P. Melin, Method for higher order polynomial sugeno fuzzy inference systems, Information Sciences, 351 (2016), Doi: 10.1016/j.ins. 2016.02.045. [10] A. Cavallo, High-order fuzzy sliding manifold control, Fuzzy Sets and Systems, 156 (2005), 249-266.
[11] S. B. Chen, F. Rajaee, A. Yousefpour, R. Alcaraz, Y. M. Chu, J. Gomez-Aguilar, S. Bekiros, A. A. Aly, H. Jahanshahi, Antiretroviral therapy of hiv infection using a novel optimal type-2 fuzzy control strategy, Alexandria Engineering Journal, 60(1) (2021), 1545-1555.
[12] K. Demirli, P. Muthukumaran, Higher order fuzzy system identification using subtractive clustering, Journal of Intelligent and Fuzzy Systems, 9 (2000), 129-158.
[13] L. Herrera, H. Pomares, I. Rojas, O. Valenzuela, A. Prieto, Tase, a taylor series-based fuzzy system model that combines interpretability and accuracy, Fuzzy Sets and Systems, 153(3) (2005), 403-427.
[14] G. Heydari, Optimal design of nonlinear predictive controller based on high-order fuzzy systems (in persian), Ph.d. thesis, Shahid Bahonar University of Kerman, Kerman, Iran, 2015.
[15] G. Heydari, A. A. Gharaveisi, M. Vali, Photovoltaic cells modeling via artificial neural square fuzzy inference system, Modares Journal of Electrical Engineering, 11(4) (2012), 11-19.
[16] G. Heydari, A. Gharaveisi, M. Vali, New formulation for representing higher order tsk fuzzy systems, IEEE Transactions on Fuzzy Systems, 24(4) (2016), 854-864.
[17] G. Heydari, M. Vali, A. A. Gharaveisi, Chaotic time series prediction via artificial neural square fuzzy inference system, Expert Systems with Applications, 55 (2016), 461-468.
[18] S. Jafarzadeh, Stability analysis and control design of tsk systems with applications in power systems, Ph.d. thesis, University of Nevada, Reno, 2012.
[19] N. K. Kasabov, Denfis: Dynamic evolving neural-fuzzy inference system and its application for time-series prediction, IEEE Transactions on Fuzzy Systems, 10 (2002), 144-154.
[20] K. Koenigsberger, Analysis 2, Springer, Berlin, Heidelberg, 2004. [21] K. Ogata, Discrete-time control systems, Prentice Hall, 1994.
[22] K. Ogata, Modern control engineering, Prentice Hall, 2010.
[23] E. Ontiveros-Robles, P. Melin, O. Castillo, Comparative analysis of noise robustness of type 2 fuzzy logic controllers, Kybernetika, 54 (2018), Doi: 10.14736/kyb-2018-1-0175.
[24] A. A. G. Saeid Eslahi Tatafi, G. A. Heydari, Short-term electricity price forecasting using optimal tsk fuzzy systems, Journal of Mathematics and Computer Science, 13(3) (2014), 238-246.
[25] R. Salimi Tari, A. Moarefianpour, Observer-based tracking control design for a class of fuzzy polynomial systems, Journal of Control, 12(1) (2018), Doi: 10.29252/joc.12.1.1.
[26] R. Salimi Tari, A. Moarefianpour, Observer-based tracking controller design for a class of polynomial fuzzy systems with disturbance, Asian Journal of Control, 23(4) (2021), 1982-1991.
[27] F. Shirani, M. J. Yazdanpanah, B. N. Araabi, Comments on controller synthesis of fuzzy-dynamic systems based on piecewise lyapunov functions, IEEE Transactions on Fuzzy Systems, 18(1) (2010), 227-228.
[28] L. X. Wang, A course in fuzzy systems and control, Prentice-Hall International, Inc., 1997.
[29] S. Wang, S. Bekiros, A. Yousefpour, S. He, O. Castillo, H. Jahanshahi, Synchronization of fractional timedelayed financial system using a novel type-2 fuzzy active control method, Chaos, Solitons and Fractals, 136 (2020), Doi:10.1016/j.chaos.2020.109768.
[30] Z. Wei, A. Yousefpour, H. Jahanshahi, U. Erkin Kocamaz, I. Moroz, Hopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode control, Journal of the Franklin Institute, 358(1) (2021), 814-833.
[31] U. Yolcu, A new approach based on optimization of ratio for seasonal fuzzy time series, Iranian Journal of Fuzzy Systems, 13(2) (2016), 19-36. | ||
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